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arXiv · 1304.0066

Strange Attractor in the Potts Spin Glass on Hierarchical Lattices

Washington de Lima·Gustavo Camelo-Neto·Sérgio Coutinho
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Abstract

The spin-glass $q$-state Potts model on $d$-dimensional diamond hierarchical lattices is investigated by an exact real space renormalization group scheme. Above a critical dimension $d_l(q)$ for $q > 2$, the coupling constants probability distribution flows to a low-temperature \emph{strange attractor} or to the high-temperature paramagnetic fixed point, according to the temperature is below or above the critical temperature $T_c(q,d)$. The strange attractor was investigated considering four initial different distributions for $q = 3$ and $d = 5$ presenting strong robustness in shape and temperature interval suggesting a condensed phase with algebraic decay.

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Washington de Lima, Gustavo Camelo-Neto, Sérgio Coutinho. 2013-03-30. Strange Attractor in the Potts Spin Glass on Hierarchical Lattices. https://doi.org/10.1016/j.physleta.2013.08.046

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